# Flooved

Flooved is an online education platform founded in 2011, that seeks to provide free education to a global audience by providing lecture notes, handouts, and study guides online, beginning with undergraduate mathematics and physics content.

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Flooved
by David Lippman;Jeff Eldridge;Mike Kenyon;Lawrence Morales;Melonie Rasmussen
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Topics: Maths, Mathematics
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by James Cornette;Ralph Ackerman
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In our text, mathematical modeling and difference and differential equations lead, closely follow, and extend the elements of calculus. Chapter one introduces mathematical modeling in which students write descriptions of some observed processes and from these descriptions derive first order linear difference equations whose solutions can be compared with the observed data. In chapters in which the derivatives of algebraic, exponential, or trigonometric functions are defined, biologically...
Topics: Calculus, Mathematics
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by Prof. David Guichard
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The emphasis in this course is on problems�doing calculations and story problems. To master problem solving one needs a tremendous amount of practice doing problems.
Topics: Maths, Mathematics
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by William F. Trench
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Elementary Differential Equations with Boundary Value Problems is written for students in science, engineering, and mathematics who have completed calculus through partial differentiation. In writing this book I have been guided by the these principles: 1. An elementary text should be written so the student can read it with comprehension without too much pain. I have tried to put myself in the student�s place, and have chosen to err on the side of too much detail rather than not enough. 2. An...
Topics: Maths, Differential Equations (ODEs & PDEs)|, Ordinary Differential Equations (ODEs), Linear...
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by Barbara Illowsky;Susan Dean
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The textbook was developed over several years and has been used in regular and honors-level classroom settings and in distance learning classes. This textbook is intended for introductory statistics courses being taken by students at two� and four�year colleges who are majoring in fields other than math or engineering. Intermediate algebra is the only prerequisite. The book focuses on applications of statistical knowledge rather than the theory behind it.
Topics: Maths, Mathematics
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by Matt Boelkins
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Topics: Calculus, Mathematics
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by Prof. Carl Stitz;Prof. Jeff Zeager
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Topics: Maths, Mathematics
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by Prof. Peter J. Cameron
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Topic: Mathematics
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by David H. Collingwood;K. David Prince;Matthew M. Conroy
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This book is full of worked out examples. We use the the notation �Soluttion.� to indicate where the reasoning for a problem begins; the symbol is used to indicate the end of the solution to a problem. There is a Table of Contents that is useful in helping you �nd a topic treated earlier in the course. It is also a good rough outline when it comes time to study for the �nal examination. The book also includes an index at the end. Finally, there is an appendix at the end of the text with...
Topic: Mathematics
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by Prof. Michael Corral
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This book covers elementary trigonometry. It is suitable for a one-semester course at the college level, though it could also be used in high schools
Topics: Maths, Mathematics
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by James Cornette;Ralph Ackerman
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Volume II is suitable for students who have studied calculus and are interested in difference and differential equation models in the life sciences. Volume II consists of Chapter 1 from Volume I, Chapter D - the differential equations that appear in Chapters 3 - 10 of Volume I, and five additional chapters on difference and differential equations.
Topics: Ordinary Differential Equations (ODEs), Mathematics
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by Prof. Peter J. Cameron
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This course introduces the basic notions of probability theory and develops them to the stage where one can begin to use probabilistic ideas in statistical inference and modelling, and the study of stochastic processes. Probability axioms. Conditional probability and independence. Discrete random variables and their distributions. Continuous distributions. Joint distributions. Independence. Expectations. Mean, variance, covariance, correlation. Limiting distributions
Topic: Mathematics
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by Prof. Jim Hefferon
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on functions involving a single independent variable and a single dependent variable. For
Topics: Maths, Mathematics
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by Edward A. Bender;S. Gill Williamson
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Parts I and II deal with two fundamental aspects of combinatorics: enumeration and graph theory. �Enumeration� can mean either counting or listing things. Mathematicians have generally limited their attention to counting, but listing plays an important role in computer science, so we discuss both aspects. After introducing the basic concepts of �graph theory� in Part II, we present a variety of applications of interest in computer science and mathematics. Induction and recursion play a...
Topics: Combinatorics, Mathematics
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by David Joyner;Minh Van Nguyen;Dr Nathann Cohen
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This is an introductory book on algorithmic graph theory. Theory and algorithms are illustrated using the Sage open source mathematics software. To get an overview of the book, you can view the table of contents as shown below or download the complete book. This book is more commonly known as the "DaMN" book if you notice the first letter of the first name of each author. So feel free to call it the DaMN book :-)
Topics: Maths, Graph Theory, Statistics and Probability, Basics, Connectivity and Matchings, Probabilistic...
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by Jir� Lebl
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The laws of physics are generally written down as differential equations. Therefore, all of science and engineering use differential equations to some degree. Understanding differential equations is essential to understanding almost anything you will study in your science and engineering classes. You can think of mathematics as the language of science, and differential equations are one of the most important parts of this language as far as science and engineering are concerned.
Topic: Maths
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by Prof. Michael Corral
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This book covers calculus in two and three variables. It is suitable for a one-semester course, normally known as �Vector Calculus�, �Multivariable Calculus�, or simply �Calculus III�. The prerequisites are the standard courses in single-variable calculus (a.k.a. Calculus I and II).
Topics: Maths, Mathematics
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by Reinhard Diestel
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This is the electronic �professional edition� of the Springer book "Graph Theory", from their series Graduate Texts in Mathematics, vol. 173.... this book o_ers an introduction to the theory of graphs as part of (pure) mathematics; it contains neither explicit algorithms nor �real world� applications. My hope is that the potential for depth gained by this restriction in scope will serve students of computer science as much as their peers in mathematics...
Topics: Maths, Graph Theory, Basics, Connectivity and Matchings, Extremal Graph Theory, Eigenvalue Methods,...
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by Gilbert Strang
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This book begins with four special families of matrices�simple and useful, absolutely basic. We look �rst at the properties of these particular matrices Kn,Cn, Tn,and Bn. (Some properties are obvious, others are hidden.) It is terri�c to practice linear algebra by working with genuinely important matrices.
Topics: Maths, Linear Algebra and Geometry, Numerical Analysis, Linear Algebra, Linear Algebraic Systems,...
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by Prof. Charles Grinstead;Prof. Laurie Snell
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This text is designed for an introductory probability course taken by sophomores, juniors, and seniors in mathematics, the physical and social sciences, engineering, and computer science. It presents a thorough treatment of probability ideas and techniques necessary for a �rm understanding of the subject. The text can be used in a variety of course lengths, levels, and areas of emphasis
Topics: Maths, Mathematics
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by Dr Thomas W. Judson
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The first half of the book presents group theory, through the Sylow theorems, with enough material for a semester-long course. The second-half is suitable for a second semester and presents rings, integral domains, Boolean algebras, vector spaces, and fields, concluding with Galois Theory
Topics: Group Theory, Permutations, Cosets, Mathematics
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by William F. Trench
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The book is designed to �ll the gaps left in the development of calculus as it is usually presented in an elementary course, and to provide the background required for insight into more advanced courses in pure and applied mathematics.
Topics: Real Numbers, Analysis, Mathematics
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by Catherine Wilkins
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The course will be in two parts: Part I in Michaelmas Term Weeks 3-8 and Hilary Term Weeks 1-2, and Part II in Hilary Term Weeks 3-8. For Part I you will be allocated a computer to yourself during scheduled sessions in the Statistics Department, and you may work collaboratively with others in these sessions. None of the work in Part I will be assessed, but instead will act as a foundation enabling you to work individually during Part II. This individual work will be assessed and will count...
Topics: Maths, Algebra, Numerical Analysis, Study Guides, Study Skills and Assignment Guidelines, Number...
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by Prof. Kiran S. Kedlaya
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Aside from this introduction, the book is divided into four parts. The �rst part, �Rudiments�, is devoted to the foundations of Euclidean geometry and to some of the most pervasive ideas within the subject. The second part, �Special situations�, treats some common environments of classical synthetic geometry; it is here where one encounters many of the challenging Olympiad problems which helped inspire this book. The third part, �The roads to modern geometry�, consists of two 4...
Topics: Maths, Mathematics
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by Prof. Carl Stitz;Prof. Jeff Zeager
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Topics: Maths, Mathematics
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by Peter Ouwehand
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Topics: Maths, Mathematics
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by Benjamin McKay
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These notes are drawn from lectures given at University College Cork in the spring of 2006, for a �rst year introduction to linear algebra. The course aims for a complete proof of the spectral theorem. Problems appear throughout the text, which you must learn to solve. They often provide vital results used in the course. Most of these problems have hints, particularly the more important ones. There are also review problems at the end of each section, and you should try to solve a few from...
Topics: Maths, Linear Algebra and Geometry, Algebra, Numerical Analysis, Vectors and Matrices, Linear...
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by Richard Fitzpatrick
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What is classical mechanics? Classical mechanics is the study of the motion of bodies (including the special case in which bodies remain at rest) in accordance with the general principles �rst enunciated by Sir Isaac Newton in his Philosophiae Naturalis Principia Mathematica (1687), commonly known as the Principia. Classical mechanics was the �rst branch of Physics to be discovered, and is the foundation upon which all other branches of Physics are built. Moreover, classical mechanics has...
Topic: Maths
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by Jir� Lebl
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This book is a one semester course in basic analysis. It should be possible to use the book for both a basic course for students who do not necessarily wish to go to graduate school, but also as a more advanced one-semester course that also covers topics such as metric spaces.
Topic: Maths
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by Prof. John Erdman
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The current set of notes is an activity-oriented companion to the study of real analysis. It is intended as a pedagogical companion for the beginner, an introduction to some of the main ideas in real analysis, a compendium of problems I think are useful in learning the subject, and an annotated reading/reference list
Topics: Maths, Mathematics
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by David Joyner;Dale Hoffman;William Stein
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Who cares about calculus? Well, calculus is used in virtually every branch of science where a problem can be mathematically modeled and an optimal solution is desired. In applications, quite often you �know� or strongly suspect something based on your understanding of the general principles in that �eld. Calculus allows you to quantify your expectations.
Topic: Maths
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by Prof. Carl Stitz;Prof. Jeff Zeager
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Topics: Algebra, Mathematics
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by Edwin Clark
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This book is intended for a one semester introduction to absract algebra. Instead of spending a lot of time going over background material, we go directly into the primary subject matter. We discuss proof methods and necessary background as the need arises.
Topics: Maths, Algebra, Groups, Groups, Lagrange and Fermat-Euler�s Theorems, Isomorphism Theorems,...
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by Prof. Steven E. Pav
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What started as daily course notes in a numerical methods course blossomed into a manuscript now standing in for the course textbook. only the classical topics are covered
Topics: Maths, Mathematics
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by Prof. Al Doerr;Prof. Kenneth Levasseur
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In writing this book, care was taken to use language and examples that gradually wean students from a simpleminded mechanical approach and move them toward mathematical maturity. We also recognize that many students who hesitate to ask for help from an instructor need a readable text, and we have tried to anticipate the questions that go unasked. The wide range of examples in the text are meant to augment the "favorite examples" that most instructors have for teaching the topics in...
Topics: Maths, Mathematics
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by Hans de Vries
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Topics: Physics, Physics
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by Richard Fitzpatrick
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This book presents a single semester course on Newtonian dynamics that is intended primarily for upper-division (i.e., junior and senior) undergraduate students majoring in physics. A thorough understanding of physics at the lower-division level, including a basic working knowledge of the laws of mechanics, is assumed. It is also taken for granted that students are familiar with the fundamentals of integral and differential calculus, complex analysis, ordinary differential equations, and linear...
Topics: Physics, Classical Mechanics, Classical Mechanics of Discrete Systems, Physics
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by Joel G. Broida;S. Gill Williamson
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This text discusses the theory of finite-dimensional vector spaces in sufficient detail to enable the reader to understand and solve most linear algebra problems in mathematics and physics likely to be encountered outside of specialized research.
Topics: Maths, Mathematics
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by Edward A. Bender;S. Gill Williamson
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Topics: Maths, Mathematics
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by Prof. Kenneth P. Bogart
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This book is an introduction to combinatorial mathematics, also known as combinatorics. The book focuses especially but not exclusively on the part of combinatorics that mathematicians refer to as �counting.� The book consists almost entirely of problems.
Topics: Maths, Mathematics
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by Richard Fitzpatrick
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What is Plasma? The electromagnetic force is generally observed to create structure: e.g., stable atoms and molecules, crystalline solids. In fact, the most widely studied consequences of the electromagnetic force form the subject matter of Chemistry and Solid-State Physics, which are both disciplines developed to understand essentially static structures. Structured systems have binding energies larger than the ambient thermal energy. Placed in a suf�ciently hot environment, they decompose:...
Topics: Physics, Physics of Gases, Plasmas, and Electric Discharges, Physics of Plasmas and Electric...
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by Peter Ouwehand
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These notes are for a short course in set theory at the undergraduate level at Stellenbosch University. No pretense at orignality is claimed. Though ampli�ed by material from a number of additional sources, the debt to the �rst few chapters of the book Set Theory, by Thomas Jech, Springer 2003, should be easily discernible.
Topics: Maths, Logic, Numbers and Set Theory, Set Theory, Mathematics
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by Richard Fitzpatrick
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The purpose of this course is to present quantum mechanics in a systematic fashion, starting from the fundamental postulates, and developing the theory in as logical a manner as possible.
Topics: Physics, Quantum Physics, Quantum Mechanics, Foundations of Quantum Mechanics, Measurement Theory,...
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by Matthias Beck;Gerald Marchesi;Dennis Pixton;Lucas Sabalka
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These are the lecture notes of a one-semester undergraduate course which we taught at SUNY Binghamton. For many of our students, Complex Analysis is their first rigorous analysis (if not mathematics) class they take, and these notes reflect this very much. We tried to rely on as few concepts from real analysis as possible. In particular, series and sequences are treated ``from scratch." This also has the (maybe disadvantageous) consequence that power series are introduced very late in the...
Topics: Complex Analysis, Residue Theorem, Second Order Ordinary Differential Equations in the Complex...
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by Peter M. Neumann
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These notes are intended as a rough guide to the eight-lecture course Introduction to Pure Mathematics which is a part of the Oxford 1st-year undergraduate course for the Preliminary Examination in Mathematics. Please do not expect a polished account. They are my personal lecture notes, not a carefully checked textbook. Nevertheless, I hope they may be of some help.
Topic: Maths
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by Prof. Joseph Fields
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f(x). However, many of the functions of importance both within mathematics itself as
Topics: Maths, Mathematics
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by Peter Ouwehand
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These notes began as notes for a course called �Computability and Mathematical Linguistics� taught at McGill University for about 25 years, beginning in 1974. It was quite successful, but after Professor Lambek and I retired, there was no one who was su_ciently interested in teaching the course as designed and it eventually disappeared. There was a proposal to add quite a bit of logic to the notes and publish it jointly with Phil Scottand me, but this project never much went beyond putting...
Topic: Maths
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by Richard Fitzpatrick
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These set of lecture notes are designed for an upper-division undergraduate course on computational physics. The purpose of this course is demonstrate to students how computers can enable us to both broaden and deepen our understanding of physics by vastly increasing the range of mathematical calculations which we can conveniently perform.
Topics: Physics, Physics
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by Prof. Richard Hammack
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such a function f, a single real number input x determines a unique single output value
Topics: Maths, Mathematics
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by Peter Dourmashkin
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So far we have restricted ourselves to considering systems consisting of discrete objects or point-like objects that have fixed amounts of mass. We shall now consider systems in which material flows between the objects in the system, for example we shall consider coal falling from a hopper into a moving railroad car, sand leaking from railroad car fuel, grain moving forward into a railroad car, and fuel ejected from the back of a rocket, In each of these examples material is continuously flows...
Topics: Physics, Classical Mechanics, Physics
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by Prof. Stefan Bilaniuk
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A Problem Course in Mathematical Logic is intended to serve as the text for an introduction to mathematical logic for undergraduates with some mathematical sophistication. It supplies definitions, statements of results, and problems, along with some explanations, examples, and hints. The idea is for the students, individually or in groups, to learn the material by solving the problems and proving the results for themselves. The book should do as the text for a course taught using the modified...
Topics: Logic, Numbers and Set Theory, Introduction to Number Systems and Logic, Propositional Logic, Set...
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by A. Mark Fox
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This third year core module covers the quantum theory of atoms and atomic spectra, and also the basic principles of lasers. Course description: PHY332 covers the quantum theory of simple atoms and atomic spectra, and also the basic principles of lasers. The first part of the course covers the physics of atoms and atomic spectra, beginning with hydrogen and then moving on to multi-electron atoms. The second part gives an introduction to laser physics, with emphasis on the basic principles of...
Topics: Physics/Nuclear, Atomic and Molecular Physics/Atomic and Molecular Physics|Physics/Acoustics,...
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by John Belcher;Peter Dourmashkin;Michael Feld;Eric Hudson;John Joannopoulos;Bruce Knuteson;George Stephans
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AC Sources - In Chapter 10 we learned that changing magnetic flux can induce an emf according to Faraday�s law of induction. In particular, if a coil rotates in the presence of a magnetic field, the induced emf varies sinusoidally with time and leads to an alternating current (AC), and provides a source of AC power. The symbol for an AC voltage source is...
Topics: Physics, Electromagnetism and Electromagnetic Radiation, Classical Electromagnetism�,...
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by Sergei Treil
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Topics: Linear Algebra, Vectors, Eigenvalues and Eigenvectors, Determinant and Trace, Dual of a...
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by Prof. Dave Witte Morris;Prof. Joy Morris
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well as in the application of mathematics to the rest of the world involve many variables
Topics: Maths, Mathematics
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by John Lewis;Arthur Mattuck;Haynes Miller;Jeremy Orloff
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A differential equation is an equation expressing a relation between a function and its derivatives. When the function in the differential equation has a single independent variable we call it an ordinary differential equation. That is, the derivatives are ordinary derivatives, not partial derivatives. This course is almost exclusively concerned with ordinary differential equations.
Topics: Maths, Differential Equations (ODEs & PDEs), Mathematics
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by Keijo Ruohonen
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The notes form the base text for the course �MAT-41196 Graph Theory�. They containan introduction to basic concepts and results in graph theory, with a special emphasis put onthe network-theoretic circuit-cut dualism. In many ways a model was the elegant and carefulpresentation of SWAMY & THULASIRAMAN, especially the older (and better) edition. There areof course many modern text-books with similar contents, e.g. the popular GROSS & YELLEN.
Topics: Graph Theory, Basics, Connectivity and Matchings, Graph Colouring, Planar Graphs, Matchings in...
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by David Joyner
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Roughly speaking, a differential equation is an equation involving the derivatives of one or more unknown functions. In calculus (differential, integral and vector), you�ve studied ways of analyzing functions. You might even have been convinced that functions you meet in applications arise naturally from physical principles. As we shall see, differential equations arise naturally from general physical principles. In many cases, the functions you met in calculus in applications to physics were...
Topic: Maths
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by David W. Hogg
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These notes have three (perhaps ambitious) aims: (a) to introduce undergraduates to special relativity from its founding principle to its varied consequences, (b) to serve as a reference for those of us who need to use special relativity regularly but have no long-term memory, and (c) to provide an illustration of the methods of theoretical physics for which the elegance and simplicity of special relativity are ideally suited. History is a part of all science�I will mention some of the...
Topic: Maths
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by R. E. Showalter
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Chapter I presents all the elementary Hilbert space theory that is needed for the book. Chapter II is an introduction to distributions and Sobolev spaces. Chapter III is an exposition of the theory of linear elliptic boundary value problems in variational form. (The meaning of \variational form" is explained in Chapter VII.). Chapter IV is an exposition of the generation theory of linear semigroups of contractions and its applications to solve initial-boundary value problems for partial...
Topics: Maths, Mathematics
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by Graeme Ackland
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Quantum Theory encompasses our best understanding of how nature works: what will be the result of any experiment. We arbitrarily split the universe into �system� (wave function), an environment or measurement (Hamiltonian, or operator) and a measureable quantity (eigenvalue). There is no unique associated mathematics, but since all measurements on systems yield real numbers, we need mathematics which gives real eigenvalues. So it is a premise of quantum theory that any measurable quantity...
Topics: Physics, Quantum Physics, Physics
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by James S. Milne
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An algebraic number �eld is a �nite extension of Q; an algebraic number is an element of an algebraic number �eld. Algebraic number theory studies the arithmetic of algebraic number �elds � the ring of integers in the number �eld, the ideals and units in the ring of integers, the extent to which unique factorization holds, and so on. An abelian extension of a �eld is a Galois extension of the �eld with abelian Galois group. Class �eld theory describes the abelian extensions of...
Topic: Maths
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by Prof. Peter J. Cameron
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Topic: Mathematics
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by Eric Poisson
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Topics: Physics, Physics
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by Eric Poisson
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This is a comprehensive book on all of the fundamental theory behind electromagnetism.
Topics: Physics, Electromagnetism and Electromagnetic Radiation, Classical Electromagnetism�,...
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by Pieter Kok
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Lecture Topics: 1. Geometrical vectors and vector �elds 2. Calculating with the div, grad and curl 3. Index notation, unit vectors and coordinate systems 4. Maxwell�s equations and the Lorentz Force 5. Gauge transformations and a particle in an electromagnetic �eld 6. The Laplace equation and the method of images 7. Separation of variables and Legendre polynomials 8. Electric and magnetic multipole moments 9. The wave equation, polarisation, phase velocity and group velocity.
Topics: Physics, Electromagnetism and Electromagnetic Radiation, Classical Electromagnetism�,...
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by James Nearing
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There�s more to the subject of vector calculus...There are a couple of types of line integrals and there are some basic theorems that relate the integrals to the derivatives, sort of like the fundamental theorem of calculus that relates the integral to the anti-derivative in one dimension.
Topics: Physics, Electromagnetism and Electromagnetic Radiation, Mathematical Methods in Physics, Classical...
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by Ji_� Lebl
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This book is a one semester course in basic analysis
Topics: Maths, Mathematics
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by Peter Dourmashkin
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Solving problems is the most common task used to measure understanding in technical and scientific courses, and in many aspects of life as well. In general, problem solving requires factual and procedural knowledge in the area of the problem, plus knowledge of numerous schema, plus skill in overall problem solving. Schema is loosely defined as a �specific type of problem� such as principal, rate, and interest problems, one-dimensional kinematic problems with constant acceleration, etc...
Topics: Physics, Classical Mechanics, Classical Mechanics of Discrete Systems, General Theory of Classical...
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by Peter Ouwehand
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Topics: Maths, Analysis and Calculus, Analysis, Integration, Mathematics
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by James Nearing
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The �rst rule in understanding vector calculus is draw lots of pictures. This subject can become rather abstract if you let it, but try to visualize all the manipulations. Try a lot of special cases and explore them. Keep relating the manipulations to the underlying pictures and don�t get lost in the forest of in�nite series. Along with the pictures, there are three types of derivatives, a couple of types of integrals, and some theorems relating them.
Topics: Physics, Electromagnetism and Electromagnetic Radiation, Mathematical Methods in Physics, Classical...
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by Peter Dourmashkin
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Topics: Physics, Classical Mechanics, Classical Mechanics of Discrete Systems, General Theory of Classical...
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by F. J. Dyson;Michael J. Moravcsik
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Detailed Program - We shall not develop straightaway a correct theory including many particles. Instead we follow the historicaldevelopment. We try to make a relativistic quantum theory of one particle, �nd out how far we can goand where we get into trouble. Then we shall see how to change the theory and get over the trouble byintroducing many particles. Incidentally, the one�particle theories are quite useful, being correct to a goodapproximation in many situations where creation of new...
Topics: Physics, Particle Physics and Fields, Quantum Physics, General Theory of Fields and Particles,...
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by Joel G. Broida;S. Gill Williamson
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Chapter 11 presents the basic formalism of tensors as they are most commonly used by applied mathematicians, physicists and engineers. Finally, Chapter 12 serves as an introduction to the theory of infinite-dimensional vector spaces
Topics: Maths, Mathematics